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Mathematics · JEE

Important Questions: Matrices and Determinants for JEE

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The most important Matrices and Determinants questions for JEE cover conceptual traps, standard results, and numerical patterns from Matrices, algebra of matrices, type of matrices, Determinants and matrices of order two and three, Evaluation of determinants, Area of triangles using determinants, and more. Goodmarks provides 32+ high-yield MCQs with full solutions.

Focus on what matters most. These important Matrices and Determinants questions cover high-weightage concepts from Matrices, algebra of matrices, type of matrices, Determinants and matrices of order two and three, Evaluation of determinants, Area of triangles using determinants, and more — the topics JEE repeats every year.

Subtopics in Matrices and Determinants

  • Matrices, algebra of matrices, type of matrices
  • Determinants and matrices of order two and three
  • Evaluation of determinants
  • Area of triangles using determinants
  • Adjoint and inverse of a square matrix
  • Test of consistency and solution of simultaneous linear equations in two or three variables using matrices

Free sample questions

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Q1MathsUnit 3: Matrices and Determinants
STATEMENT 1: In a ΔABC,a,b,c\Delta A B C, a, b, c denotes lengths of the sides and ∣abcbcacab∣=0\left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{a} \\ \boldsymbol{c} & \boldsymbol{a} & \boldsymbol{b}\end{array}\right|=\mathbf{0} then the triangle is equilateral triangle. STATEMENT 2: Sum of three non- negative numbers =0⇒=0 \Rightarrow each number is zero.
Q2MathsUnit 3: Matrices and Determinants
If A=[11111+x1111+y]\boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{1} & \mathbf{1} \\ \mathbf{1} & \mathbf{1}+\boldsymbol{x} & \mathbf{1} \\ \mathbf{1} & \mathbf{1} & \mathbf{1}+\boldsymbol{y}\end{array}\right] for x≠\boldsymbol{x} \neq 0,y≠0,\mathbf{0}, \boldsymbol{y} \neq \mathbf{0}, then D\boldsymbol{D} is:
Q3MathsUnit 3: Matrices and Determinants
If 2a=b,2 a=b, the pair of equations ax+a x+ by=2a2−3b2,x+2y=2a−6bb y=2 a^{2}-3 b^{2}, x+2 y=2 a-6 b possess
Q4MathsUnit 3: Matrices and Determinants
The addition of two numbers is −72.-72 . If one number is thrice the another number. Find the greater number
Q5MathsUnit 3: Matrices and Determinants
Solve the following equations by substitution method. x=2y−1;y=2x−7\boldsymbol{x}=\mathbf{2} \boldsymbol{y}-\mathbf{1} ; \boldsymbol{y}=\mathbf{2} \boldsymbol{x}-\mathbf{7}
Q6MathsUnit 3: Matrices and Determinants
[000]\left[\begin{array}{lll}0 & 0 & 0\end{array}\right] is an example of
Q7MathsUnit 3: Matrices and Determinants
Dashrath and Naresh are friends ,Naresh is 2 years younger than Dashrath.If the sum of their age is 56 years, find their present age.
Q8MathsUnit 3: Matrices and Determinants
Consider the following statements: 1. Determinant is a square matrix. 2. Determinant is a number associated with a square matrix. Which of the above statements is/are correct?

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Frequently asked questions

What makes a Matrices and Determinants question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Matrices and Determinants are high-weightage?

Key areas include Matrices, algebra of matrices, type of matrices, Determinants and matrices of order two and three, Evaluation of determinants, Area of triangles using determinants, and more. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

Can I practise only important questions on Goodmarks?

Pro users can filter by unit and subtopic to target high-yield areas. Free users can attempt sample questions on this page.

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